On Soluble Block-Transitive 2-$(5^6,7,1)$ Designs
Received:July 15, 2004  
Key Words: design   block-transitive   automorphism   soluble group.  
Fund Project:the National Natural Science Foundation of China (10471152)
Author NameAffiliation
LIU Wei-jun Dept. of Math., Central South University, Hunan 410075, China 
TANG Jian-xiong 中南大学数学科学与计算技术学院, 湖南 长沙 410075 
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      Let $G$ be a soluble block-transitive automorphism group of 2-$(5^6,7,1)$ design $\bf D$. Then $G$ is flag-transitive or $G\le A\Gamma L (1, 5^6)$.
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